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- W1976850894 abstract "In a bounded domain , we consider div((ℓ(x) + m(x)χD(x))∇u(x)) + k(x)u(x) = 0, where satisfy ℓ, ℓ + m > 0 on , the subdomain D is the union of a finite number of polygons, χD denotes the characteristic function of D and k L∞(Ω), k ⩾ 0 on . We discuss an inverse problem of determining D by the boundary data of u. Our main results are stated as follows. (i) Case k ≡ 0: a suitably given single Dirichlet datum of u on ∂Ω yields the uniqueness of the convex hull of D. (ii) Case 0 < k(x) < λ0, where λ0 is the product of the minimum of ℓ and the first eigenvalue of −Δ with the zero Dirichlet boundary condition. By changing Dirichlet inputs to u on ∂Ω twice and suitably, the resulting two Neumann data guarantee the uniqueness of the convex hull." @default.
- W1976850894 created "2016-06-24" @default.
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- W1976850894 date "2004-02-27" @default.
- W1976850894 modified "2023-10-02" @default.
- W1976850894 title "Uniqueness in the two-dimensional inverse conductivity problems of determining convex polygonal supports: case of variable conductivity" @default.
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- W1976850894 doi "https://doi.org/10.1088/0266-5611/20/2/012" @default.
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